Least Common Multiple of 5498 and 5499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5498 and 5499 the smallest integer that is 30233502 that is divisible by both numbers.

Least Common Multiple (LCM) of 5498 and 5499 is 30233502.

LCM(5498,5499) = 30233502

LCM of 5498 and 5499

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 5498 and 5499

LCM of 5498 and 5499 is 30233502

Least common multiple can be found by multiplying the highest exponent prime factors of 5498 and 5499. First we will calculate the prime factors of 5498 and 5499.

Prime Factorization of 5498


2 5498
2749 2749
1

Prime factors of 5498 are 2,2749. Prime factorization of 5498 in exponential form is:

5498 = 21×27491

Prime Factorization of 5499


3 5499
3 1833
13 611
47 47
1

Prime factors of 5499 are 3, 13,47. Prime factorization of 5499 in exponential form is:

5499 = 32×131×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5498 and 5499.

LCM(5498,5499) = 21×32×131×471×27491
LCM(5498,5499) = 30233502

Factors of 5498

List of positive integer factors of 5498 that divides 5498 without a remainder.

1, 2, 2749, 5498

Factors of 5499

List of positive integer factors of 5499 that divides 5499 without a remainder.

1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499

Least Common Multiple of 5498 and 5499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5498 and 5499, than apply into the LCM equation.

GCF(5498,5499) = 1
LCM(5498,5499) = ( 5498 × 5499) / 1
LCM(5498,5499) = 30233502 / 1
LCM(5498,5499) = 30233502

Properties of LCM 5498 and 5499

(i) The LCM of 5499 and 5498 is associative

LCM of 5498 and 5499 = LCM of 5499 and 5498

Related Least Common Multiples of 5498

Related Least Common Multiples of 5499

Frequently Asked Questions on LCM of 5498 and 5499

1. What is the LCM of 5498 and 5499?

Answer: LCM of 5498 and 5499 is 30233502.

2. What are the Factors of 5498?

Answer: Factors of 5498 are 1, 2, 2749, 5498. There are 4 integers that are factors of 5498. The greatest factor of 5498 is 5498.

3. What are the Factors of 5499?

Answer: Factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499. There are 12 integers that are factors of 5499. The greatest factor of 5499 is 5499.

4. How to Find the LCM of 5498 and 5499?

Answer:

Least Common Multiple of 5498 and 5499 = 30233502

Step 1: Find the prime factorization of 5498

5498 = 2 x 2749

Step 2: Find the prime factorization of 5499

5499 = 3 x 3 x 13 x 47

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 30233502 = 2 x 3 x 3 x 13 x 47 x 2749

Step 4: Therefore, the least common multiple of 5498 and 5499 is 30233502.